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Heat transport in spin-boson systems near the thermal equilibrium is systematically investigated. An asymptotically exact expression for the thermal conductance in a low-temperature regime wherein transport is described via a co-tunneling…

Mesoscale and Nanoscale Physics · Physics 2018-09-14 Tsuyoshi Yamamoto , Masanari Kato , Takeo Kato , Keiji Saito

A candidate for a consistent steady state thermodynamics is constructed for a radiation field in vacuum sandwiched by two black bodies of different temperatures. Because of the collisionless nature of photons, a steady state of a radiation…

Statistical Mechanics · Physics 2015-06-25 Hiromi Saida

Energy transfer in small nanosized systems can be very different from that in their macroscopic counterparts due to reduced dimensionality, interaction with surfaces, disorder, and large fluctuations. Those ingredients may induce…

Statistical Mechanics · Physics 2023-04-05 Giuliano Benenti , Davide Donadio , Stefano Lepri , Roberto Livi

Phonon heat conduction over length scales comparable to their mean free paths is a topic of considerable interest for basic science and thermal management technologies. Although the failure of Fourier's law beyond the diffusive regime is…

Materials Science · Physics 2019-08-28 Chengyun Hua , Lucas Lindsay , Xiangwen Chen , Austin Minnich

Understanding and quantifying the fundamental physical property of coherence of thermal excitations is a long-standing and general problem in physics. The conventional theory, i.e. the phonon gas model, fails to describe coherence and its…

Computational Physics · Physics 2022-01-11 Zhongwei Zhang , Yangyu Guo , Marc Bescond , Jie Chen , Masahiro Nomura , Sebastian Volz

Exposing a solution to a temperature gradient can lead to the accumulation of particles on either the cold or warm side. This phenomenon, known as thermophoresis, has been discovered more than a century ago, and yet its microscopic origin…

Statistical Mechanics · Physics 2023-01-02 Shiling Liang , Daniel Maria Busiello , Paolo De Los Rios

We propose a causal heat conduction model based on a heat kernel violating the fading memory paradigm. The resulting transport equation produces an equation for the temperature. The model is applied to the discussion of two important issues…

General Relativity and Quantum Cosmology · Physics 2019-10-02 L , : , Herrera

We develop an analytical framework for nonreciprocal radiative heat transfer in two-body planar systems. Based on our formalism, we identify effects that are uniquely nonreciprocal in near-field heat transfer in planar systems. We further…

We study the nonequlibrium state of heat conduction in a one-dimensional system of hard point particles of unequal masses interacting through elastic collisions. A BBGKY-type formulation is presented and some exact results are obtained from…

Statistical Mechanics · Physics 2009-11-07 Abhishek Dhar

We consider the problem of heat transport by vibrational modes (conduction) between Langevin thermostats connected by a central device. The latter is anharmonic and can be subject to large temperature differences and thus be out of…

Materials Science · Physics 2021-12-15 Keivan Esfarjani

In this paper, we will critically discuss recent theoretical and experimental developments on the transport of one dimensional quantum systems. In particular, we will focus on open issues and controversial results related to the finite…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos

A linear irreversible thermodynamic framework of heat conduction in rigid conductors is introduced. The deviation from local equilibrium is characterized by a single internal variable and a current intensity factor. A general constitutive…

Statistical Mechanics · Physics 2014-04-08 P. Ván , T. Fülöp

This work is aimed at the study and analysis of the heat transport on a metal bar of length $L$ with a solid-solid interface. The process is assumed to be developed along one direction, across two homogeneous and isotropic materials.…

Analysis of PDEs · Mathematics 2021-10-28 Diana Rubio , Domingo A. Tarzia , Guillermo F. Umbricht

This work studies heat transport of bond-disordered spin-1/2 chains. As an example, the XX case is analyzed, which corresponds to a model of noninteracting spinless fermions. Within the fermion representation, the single-particle…

Strongly Correlated Electrons · Physics 2007-05-23 Fabian Heidrich-Meisner

Heating and heat conduction in molecular junctions are considered within a general NEGF formalism. We obtain a unified description of heating in current carrying molecular junctions as well as the electron and phonon contributions to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Galperin , Mark A. Ratner , Abraham Nitzan

We study a large class of strongly interacting condensate-like materials, which can be characterized by a normalizable complex-valued function. A quantum wave equation with logarithmic nonlinearity is known to describe such systems, at…

Statistical Mechanics · Physics 2020-01-15 Konstantin G. Zloshchastiev

We investigate the thermodynamics of simple (non-interacting) transport models beyond the scope of weak coupling. For a single fermionic or bosonic level -- tunnel-coupled to two reservoirs -- exact expressions for the stationary matter and…

Statistical Mechanics · Physics 2015-07-20 Gabriel E. Topp , Tobias Brandes , Gernot Schaller

This paper proposes a new methodological framework within which the heat conductance in 1D lattices can be studied. The total process of heat conductance is separated into two parts where the first one is the equilibrium process at equal…

Chaotic Dynamics · Physics 2010-06-10 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

Thermal transport is an important energy transfer process in nature. Phonon is the major energy carrier for heat in semiconductor and dielectric materials. In analogy to Ohm's law for electrical conductivity, Fourier's law is a fundamental…

Statistical Mechanics · Physics 2012-11-27 Sha Liu , Xiangfan Xu , Rongguo Xie , Gang Zhang , Baowen Li

The second law of thermodynamics is a useful and universal tool to derive the generalizations of the Fourier's law. In many cases, only linear relations are considered between the thermodynamic fluxes and forces, i.e., the conduction…

Statistical Mechanics · Physics 2019-12-25 Róbert Kovács , Patrizia Rogolino
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